Modern trigonometry: analysis and applications international student version (paperback)

1. Right Triangle Rations
1.1 Angles, Degrees, and Arcs
1.2 Similar Triangles
1.3 Trigonometric Ratios and Right Triangles
1.4 Right Triangle Applications
Chapter 1 Group Activity: A Logistics Problem
Chapter 1 Review

2. Trigonometric Functions
2.1 Degrees and Radians
2.2 Linear and Angular Velocity
2.3 Trigonometric Functions: Unit Circle Approach
2.4 Additional Applications
2.5 Exact Values and Properties of Trigonometric Functions
Chapter 2 Group Activity: Speed of Light in Water
Chapter 2 Review

3. Graphing Trigonometric Functions
3.1 Basic Graphs
3.2 Graphing y=k+A sin Bx and y=K+A cos(Bx+C)
3.4 Additional Applications
3.5 Graphing Combined Forms
3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited
Chapter 3 Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits
Chapter 3 Review
Cumulative Review Exercise, Chapters 1-3

4. Identities
4.1 Fundamental Identities and Their Use
4.2 Verifying Trigonometric Identities
4.3 Sum, Difference, and Cofunction Identities
4.4 Double-Angle and Half-Angle Identities
4.5 Product-Sum and Sum-Product Identities
Chapter 4 Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C)
Chapter 4 Review

5. Inverse Trigonometric Functions, Trigonometric Equations and Inequalities
5.1 Inverse Sine, Cosine, and Tangent Functions
5.2 Inverse Cotangent, Secant, and Cosecant Functions
5.3 Trigonometric Equations: An Algebraic Approach
5.4 Trigonometric Equations and Inequalities: A Graphing Calculator Approach
Chapter 5 Group Activity: sin 1/x=0 and Sin-1 1/x=0
Chapter 5 Review
Cumulative Review Exercise, Chapters 1-5

6. Additional Topics: Triangles and Vectors
6.1 Law of Sines
6.2 Law of Cosines
6.3 Areas of Triangles
6.4 Vectors: Geometrically Defined
6.5 Vectors: Algebraically Defined
6.6 The Dot Product
Chapter 6 Group Activity: The SSA Case and the Law of Cosines
Chapter 6 Review

7. Polar Coordinates, Complex Numbers
7.1 Polar and Rectangular Coordinates
7.2 Sketching Polar Equations
7.3 The Complex Plane
7.4 De Moivre"s Theorem and the nth-Root Theorem
Chapter 7 Group Activity: Orbits of Planets
Chapter 7 Review
Cumulative Review Exercises, Chapters 1-7

Appendix A Comments on Numbers
A.1 Real Numbers
A.2 Complex Numbers
A.3 Significant Digits

Appendix B Functions and Inverse Functions
B.1 Functions
B.2 Graphs and Transformations
B.3 Inverse Functions

Appendix C Plane Geometry: Some Useful Facts
C.1 Lines and Angles
C.2 Triangles
C.3 Quadrilaterals
C.4 Circles

Selected Answers
Index